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17 October, 23:21

2) A velocity vector has components 36 m/s westward and 22 m/s northward. What are the magnitude and direction of this vector?

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  1. 17 October, 23:36
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    The magnitude:



    | a | = √ (22² + 36²) = √ (484 + 1296) = √ 1780 = 42.19 m/s

    The direction:

    tan α = 22/36 = 0.61111

    α = tan^ (-1) 0.61111 = 31.43 ° = 31° 26'

    Answer:

    The magnitude is 42.19 m/s and the direction is 31° 26'north from west.
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